The dimension of hyperspaces of non-metrizable continua
Wojciech Stadnicki
Colloquium Mathematicae, Tome 126 (2012), p. 101-107 / Harvested from The Polish Digital Mathematics Library
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We prove that, for any Hausdorff continuum X, if dim X ≥ 2 then the hyperspace C(X) of subcontinua of X is not a C-space; if dim X = 1 and X is hereditarily indecomposable then either dim C(X) = 2 or C(X) is not a C-space. This generalizes some results known for metric continua.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:283872 
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Wojciech Stadnicki. The dimension of hyperspaces of non-metrizable continua. Colloquium Mathematicae, Tome 126 (2012) pp. 101-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-9/